Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2013 | 123 | 1 | 148-151

Article title

Transfer Matrix Approach to One-Dimensional Electron Transport in Graphene Sheets with Piecewise Constant Potentials

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
We studied one-dimensional electron transport in a system composed of two monolayer graphene sheets with an optional arrangement of different constant rectangular electrostatic potential barriers between them. We derived a generalized transfer matrix for the electron which passes through this system. Finally, we examined our model by applying it on a well known rectangular shape constant potential barrier and we obtained the same result from our method similar to the others.

Keywords

EN

Contributors

author
  • Physics Department, Islamic Azad University Fars Science and Research Branch, P.O. Box 74715-181, Marvdasht, Iran

References

  • [1] K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004)
  • [2] D. DiVincenzo, E. Mele, Phys. Rev. B 29, 1685 (1984)
  • [3] A.H. Castro Neto, F. Guinea, N.M.R. Reres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)
  • [4] A. Rycerz, J. Tworzydlo, C.W.J. Beenakker, Nat. Phys. 3, 172 (2007)
  • [5] V.A. Yampol'skii, S. Savel'ev, F. Nori, New J. Phys. 10, 053024 (2008)
  • [6] V.V. Cheianov, V.I. Falko, Phys. Rev. B 74, 041403 (2006)
  • [7] O. Klein, Z. Phys. 53, 157 (1929)
  • [8] M.I. Katsnelson, K.S. Novoselov, A.K. Geim, Nat. Phys. 2, 620 (2006)
  • [9] N. Stander, B. Huard, D. Goldhaber-Gordon, Phys. Rev. Lett. 102, 026807 (2009)
  • [10] P.V. Ratnikov, A.P. Silin, Bull. Lebedev Phys. Inst. 35, 328 (2008)
  • [11] K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature 438, 197 (2005)
  • [12] Y. Zhang, Y.-W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)
  • [13] P.R. Wallace, Phys. Rev. 71, 622 (1947)
  • [14] J.N. Ginocchio, A. Leviatan, J. Meng, S.-G. Zhou, Phys. Rev. C 69, 034303 (2004)
  • [15] P.V. Ratnikov, JETP Lett. 87, 292 (2008)]
  • [16] S.S. Schweber, An Introduction to Relativistic Quantum Field Theory, Harper and Row, New York 1962
  • [17] B. Thaller, The Dirac Equation, Springer-Verlag, Berlin 1992
  • [18] W.G. Bagrov, D.M. Gitman, Exact Solutions of Relativistic Wave Equations, Kluwer Academic, Dordrecht 1990
  • [19] I.I. Cotaescu, P. Gravila, M. Paulescu, Phys. Lett. A 366, 363 (2007)
  • [20] R. Renan, M.H. Pacheco, C.A.S. Almeida, J. Phys. A, Math. Gen. 33, L509 (2000)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv123n132kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.